𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Particle-Mesh Schemes for Advection Dominated Flows

✍ Scribed by Wayne Arter; James W. Eastwood

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
514 KB
Volume
117
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

Extended particle-in-cell (EPIC) schemes are considered with a view to applications in electrostatic drift-wave turbulence and ordinary hydrodynamical turbulence, where periodic boundary conditions are inappropriate. We treat issues relating to the dual particlemesh representation and to the need to follow particle orbits accurately. A successful application of EPIC to an advection dominated flow is demonstrated. The errors are quantified so that choosing suitable numerical parameters to obtain a result of a given accuracy is straightforward. m 1995 Academic Press, Inc.

πŸ“œ SIMILAR VOLUMES

On a novel mesh for the regular boundary
On a novel mesh for the regular boundary layers arising in advection-dominated transport in two dimensions
✍ Hegarty, Alan F. ;Miller, John J. H. ;O'riordan, Eugene ;Shishkin, G. I. πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 385 KB πŸ‘ 1 views

Upwind finite difference operators on uniform meshes are well known to be unsuitable for the numerical solution of singularly perturbed partial differential equations, in the sense that, in the neighbourhood of the boundary layers, the error in the numerical approximation may increase as the mesh is

A High-Order-Accurate Unstructured Mesh
A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection–Diffusion Equation
✍ Carl Ollivier-Gooch; Michael Van Altena πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 275 KB

High-order-accurate methods for viscous flow problems have the potential to reduce the computational effort required for a given level of solution accuracy. The state of the art in this area is more advanced for structured mesh methods and finiteelement methods than for unstructured mesh finite-volu

A note on second-order finite-difference
A note on second-order finite-difference schemes on uniform meshes for advection--diffusion equations
✍ Daniele Funaro πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 85 KB πŸ‘ 2 views

An artificial-viscosity finite-difference scheme is introduced for stabilizing the solutions of advectiondiffusion equations. Although only the linear one-dimensional case is discussed, the method is easily susceptible to generalization. Some theory and comparisons with other well-known schemes are

High-Order Monotonicity-Preserving Compa
High-Order Monotonicity-Preserving Compact Schemes for Linear Scalar Advection on 2-D Irregular Meshes
✍ Quang Huy Tran; Bruno Scheurer πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 560 KB

This paper is concerned with the numerical solution for linear scalar advection problems, the velocity field of which may be uniform or a given function of the space variable. We would like to propose the following: (1) a new family of 1-D compact explicit schemes, which preserve monotonicity while